On the additive structure of algebraic valuations of polynomial semirings
From MaRDI portal
Publication:2153807
DOI10.1016/j.jpaa.2022.107104OpenAlexW4224243936MaRDI QIDQ2153807
Jyrko Correa-Morris, Felix Gotti
Publication date: 13 July 2022
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13073
ACCPfinite factorization monoidatomic monoidcyclic positive semiringhalf-factorial monoidvaluation semiring
Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04) Semirings (16Y60) Arithmetic theory of semigroups (20M13)
Related Items (7)
Factorization invariants of the additive structure of exponential Puiseux semirings ⋮ On the primality and elasticity of algebraic valuations of cyclic free semirings ⋮ On the arithmetic of polynomial semidomains ⋮ Unnamed Item ⋮ Factorization in additive monoids of evaluation polynomial semirings ⋮ On the Subatomicity of Polynomial Semidomains ⋮ Integral domains and the IDF property
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Atomicity and boundedness of monotone Puiseux monoids
- Factorization in integral domains
- On the arithmetic of Krull monoids with infinite cyclic class group
- Finiteness theorems for factorizations
- Increasing positive monoids of ordered fields are FF-monoids
- Puiseux monoids and transfer homomorphisms
- Half-factorial-domains
- A characterization of length-factorial Krull monoids
- Bounded and finite factorization domains
- Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid
- Factorizations in upper triangular matrices over information semialgebras
- On strongly primary monoids, with a focus on Puiseux monoids
- Factorization theory in commutative monoids
- On the atomicity of monoid algebras
- Factorizations of polynomials with integral non-negative coefficients
- On some classes of polynomials with nonnegative coefficients and a given factor
- Elasticity of factorization in number fields
- Length-factoriality in commutative monoids and integral domains
- Factorization in Integral Domains, IV
- Elements in a Numerical Semigroup with Factorizations of the Same Length
- Half factorial domains
- Irreducibility and Factorizations in Monoid Rings
- Factorization invariants of Puiseux monoids generated by geometric sequences
- On algebraic number fields with non-unique factorization
- On algebraic number fields with non-unique factorization, II
- A Characterization of Algebraic Number Fields with Class Number Two
- When Is a Puiseux Monoid Atomic?
- On unique factorization domains
This page was built for publication: On the additive structure of algebraic valuations of polynomial semirings
